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Finding the Fourth Proportional to 5,139.32, 7,092.22 and 2,781.40

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Solution

The fourth proportional to 5,139.32, 7,092.22 and 2,781.40 is: 3,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.32 : 7,092.22 = 2,781.40 : x
  2. Step 2: Convert to fraction form
    5,139.32/7,092.22 = 2,781.40/x
  3. Step 3: Cross multiply
    5,139.32x = 7,092.22 × 2,781.40
  4. Step 4: Simplify right side
    5,139.32x = 19,726,300.71
  5. Step 5: Solve for x
    x = 19,726,300.71/5,139.32
  6. Step 6: Final answer
    x = 3,838.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.